Notes on the pure spinor b ghost

Abstract

In this work, a particular BRST-exact class of deformations of the b ghost in the non-minimal pure spinor formalism is investigated and the impact of this construction in the $\mathcal{N}=2$ $\hat{c}=3$ topological string algebra is analysed. As an example, a subclass of deformations is explicitly shown, where the U(1) current appears in a conventional form, involving only the ghost number currents. Furthermore, a c ghost like composite field is introduced, but with an unusual construction.

19 pages; footnotes added; typos fixed; Published version

References in corpus (5)

• Multiloop Superstring Amplitudes from Non-Minimal Pure Spinor Formalism
• Pure Spinor Vertex Operators in Siegel Gauge and Loop Amplitude Regularization
• Y-formalism and $b$ ghost in the Non-minimal Pure Spinor Formalism of Superstrings
• The b Ghost of the Pure Spinor Formalism is Nilpotent
• A New Proposal for the Picture Changing Operators in the Minimal Pure Spinor Formalism

Cited by in corpus (8)

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• Notes on the ambitwistor pure spinor string
• Double Copy from Tensor Products of Metric BV${}^{■}$-algebras
• Tree-Level Color-Kinematics Duality from Pure Spinor Actions
• Relating the $b$ ghost and the vertex operators of the pure spinor superstring
• The Non-minimal Heterotic Pure Spinor String in a Curved Background
• On the field-antifield (a)symmetry of the pure spinor superstring
• Conformal to Harmonic Gauge for Bosonic Strings